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Finding the Fourth Proportional to 4,061.57, 6,093.12 and 1,287.50

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Solution

The fourth proportional to 4,061.57, 6,093.12 and 1,287.50 is: 1,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.57 : 6,093.12 = 1,287.50 : x
  2. Step 2: Convert to fraction form
    4,061.57/6,093.12 = 1,287.50/x
  3. Step 3: Cross multiply
    4,061.57x = 6,093.12 × 1,287.50
  4. Step 4: Simplify right side
    4,061.57x = 7,844,885.56
  5. Step 5: Solve for x
    x = 7,844,885.56/4,061.57
  6. Step 6: Final answer
    x = 1,931.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.